7+4(X+5)=7(3+X)-2X

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Solution for 7+4(X+5)=7(3+X)-2X equation: 


Simplifying
7 + 4(X + 5) = 7(3 + X) + -2X

Reorder the terms:
7 + 4(5 + X) = 7(3 + X) + -2X
7 + (5 * 4 + X * 4) = 7(3 + X) + -2X
7 + (20 + 4X) = 7(3 + X) + -2X

Combine like terms: 7 + 20 = 27
27 + 4X = 7(3 + X) + -2X
27 + 4X = (3 * 7 + X * 7) + -2X
27 + 4X = (21 + 7X) + -2X

Combine like terms: 7X + -2X = 5X
27 + 4X = 21 + 5X

Solving
27 + 4X = 21 + 5X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-5X' to each side of the equation.
27 + 4X + -5X = 21 + 5X + -5X

Combine like terms: 4X + -5X = -1X
27 + -1X = 21 + 5X + -5X

Combine like terms: 5X + -5X = 0
27 + -1X = 21 + 0
27 + -1X = 21

Add '-27' to each side of the equation.
27 + -27 + -1X = 21 + -27

Combine like terms: 27 + -27 = 0
0 + -1X = 21 + -27
-1X = 21 + -27

Combine like terms: 21 + -27 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6

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